63 results on '"Böckenholt U"'
Search Results
2. Range-Preserving Confidence Intervals and Significance Tests for Scalability Coefficients in Mokken Scale Analysis
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Koopman, L., Zijlstra, B.J.H., van der Ark, L.A., Wiberg, M., Molenaar, D., González, J., Böckenholt, U., Kim, J.-S., Educational Sciences (RICDE, FMG), and Methods and Statistics (RICDE, FMG)
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Delta method ,Sampling distribution ,Mokken scale ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,Scalability ,Range (statistics) ,Boundary (topology) ,Applied mathematics ,Interval (mathematics) ,Confidence interval ,Mathematics - Abstract
Mokken’s scalability coefficients take values on the interval (−∞, 1]. The sampling distribution of scalability coefficients is skewed near the boundary, so Wald-based confidence intervals and significance tests may be biased. We introduce a transformation of the scalability coefficients and their standard errors, which can be used to construct range-preserving confidence intervals and significance tests. We demonstrated that for scalability coefficients away from the boundary, the properties of this range-preserving method are similar to the properties of the Wald-based method, but the range-preserving method outperforms the Wald-based method when the coefficient is close to unity. The range-preserving method can be applied to all types of scalability coefficients. Its implementation in software is discussed.
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- 2021
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3. Quantitative Psychology: The 85th Annual Meeting of the Psychometric Society, Virtual
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Wiberg, M., Molenaar, D., González, J., Böckenholt, U., Kim, J.-S., and Psychologische Methodenleer (Psychologie, FMG)
- Abstract
This proceedings volume highlights the latest research and developments in psychometrics and statistics. It represents selected and peer-reviewed presentations given at the 85th Annual International Meeting of the Psychometric Society (IMPS), held virtually on July 13-17, 2020. The IMPS is one of the largest international meetings on quantitative measurement in education, psychology and the social sciences. It draws approximately 500 participants from around the world, featuring paper and poster presentations, symposiums, workshops, keynotes, and invited presentations. Leading experts and promising young researchers have written the included chapters. The chapters address a wide variety of topics including but not limited to item response theory, adaptive testing, Bayesian estimation, propensity scores, and cognitive diagnostic models. This volume is the 9th in a series of recent works to cover research presented at the IMPS.
- Published
- 2021
4. Quantitative Psychology: 84th Annual Meeting of the Psychometric Society, Santiago, Chile, 2019
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Wiberg, M., Molenaar, D., Gonzáles, J., Böckenholt, U., Kim, J.-S., and Psychologische Methodenleer (Psychologie, FMG)
- Abstract
This proceedings volume highlights the latest research and developments in psychometrics and statistics. It represents selected and peer reviewed presentations given at the 84th Annual International Meeting of the Psychometric Society (IMPS), organized by Pontificia Universidad Católica de Chile and held in Santiago, Chile during July 15th to 19th, 2019. The IMPS is one of the largest international meetings on quantitative measurement in education, psychology and the social sciences. It draws approximately 500 participants from around the world, featuring paper and poster presentations, symposiums, workshops, keynotes, and invited presentations. Leading experts and promising young researchers have written the included chapters. The chapters address a large variety of topics including but not limited to item response theory, multistage adaptive testing, and cognitive diagnostic models. This volume is the 8th in a series of recent volumes to cover research presented at the IMPS.
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- 2020
5. Preference Models with Latent Variables
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Böckenholt, U., primary
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- 2001
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6. Chapter 18 - A Review of Regression Procedures for Randomized Response Data, Including Univariate and Multivariate Logistic Regression, the Proportional Odds Model and Item Response Model, and Self-Protective Responses
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Cruyff, M.J.L.F., Böckenholt, U., van der Heijden, P.G.M., and Frank, L.E.
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- 2016
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7. A review of regression procedures for randomized response data, including univariate and multivariate logistic regression, the proportional odds model and item response model, and self-protective responses
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Cruyff, M., Böckenholt, U., van der Heijden, P.G.M., Frank, L.E., Chaudhuri, A., Christofides, C.T., Rao, C.R., Leerstoel Heijden, and Methodology and statistics for the behavioural and social sciences
- Abstract
In survey research, it is often problematic to ask people sensitive questions because they may refuse to answer or they may provide a socially desirable answer that does not reveal their true status on the sensitive question. To solve this problem Warner (1965) proposed randomized response (RR). Here, a chance mechanism hides why respondents say yes or no to the question being asked. Thus far RR has been mainly used in research to estimate the prevalence of sensitive characteristics. It is not uncommon that researchers wrongly believe that the RR procedure has the drawback that it is not possible to relate the sensitive characteristics to explanatory variables. Here, we provide a review of the literature of regression procedures for dichotomous RR data. Univariate RR data can be analyzed with a version of logistic regression that is adapted so that it can handle data collected by RR. Subsequently the manuscript presents extensions towards repeated cross-sectional data that allowed for a change in the design with which the RR data are collected. We also review regression procedures for multivariate dichotomous RR data, such as the model by Glonek and McCullagh (1995), a model for the sum of a set of dichotomous RR data, and a model from item response theory that assumes a latent variable that explains the answers on the RR variables. We end with a discussion of a recent development in the analysis of multivariate RR data, namely models that take into account that there may be respondents that do not follow the instructions of the RR design by answering no whatever the sensitive question asked. These are coined self-protective responses.
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- 2016
8. A review of regression procedures for randomized response data, including univariate and multivariate logistic regression, the proportional odds model and item response model, and self-protective responses
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Leerstoel Heijden, Methodology and statistics for the behavioural and social sciences, Cruyff, M., Böckenholt, U., van der Heijden, P.G.M., Frank, L.E., Chaudhuri, A., Christofides, C.T., Rao, C.R., Leerstoel Heijden, Methodology and statistics for the behavioural and social sciences, Cruyff, M., Böckenholt, U., van der Heijden, P.G.M., Frank, L.E., Chaudhuri, A., Christofides, C.T., and Rao, C.R.
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- 2016
9. A meta-analysis of extremeness aversion
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Neumann, N, Böckenholt, U, Sinha, A, Neumann, N, Böckenholt, U, and Sinha, A
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© 2015 Society for Consumer Psychology. Using a meta-analysis of 142 experimental observations, this work examines the influence of different research design and outcome measures on extremeness aversion (i.e., the propensity to avoid extreme options in choice situations). The results indicate that extremeness aversion is a robust phenomenon: middle options are significantly more often selected than other options. However, the strength of this behavioral effect exhibits substantial variation (up to three times the average magnitude) across methodological decisions: employing price-quality tradeoffs, nondurable categories, or binary-trinary choice-set comparisons tend to reduce the probability of extremeness aversion among consumers, whereas using a larger number of tradeoff dimensions, non-numeric attributes, high-quality extensions, or utilitarian products increase its likelihood. Because extremeness aversion has been assessed using three different measurement paradigms (absolute-share changes, relative-share shifts, and middle-option proportions), we discuss their characteristics and investigate their degree of agreement. We find that the three measures can lead to rather different effect magnitudes and even contradictory conclusions about the effect of moderators.
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- 2016
10. Towards a brain-to-society systems model of individual choice
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Dube, L., Bechara, A., Böckenholt, U., Ansari, A., Dagher, A., DeSarbo, W.S., Hammond, R.A., Huang, T., Huettel, S., Kooreman, P., Smidts, A., Research Group: Economics, and Department of Economics
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- 2008
11. Thresholds and intransivities in pairwise judgements: A multilevel analysis
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Böckenholt, U. and Faculteit Economie en Bedrijfskunde
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- 2002
12. Psychometrics: preference models with latent variables
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Böckenholt, U., Smelser, N.J., Baltes, P.B., and Faculteit Economie en Bedrijfskunde
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- 2001
13. Comparison and choice: analyzing discrete preference data by latent class scaling models
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Böckenholt, U., McCutcheon, A.L., Hagenaars, J.A., and Faculteit Economie en Bedrijfskunde
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- 2001
14. Individual differences in paired comparisons data
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Böckenholt, U., Tsai, R.C., and Faculteit Economie en Bedrijfskunde
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- 2001
15. Maximum likelihood estimation of factor and ideal point models for paired comparison data
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Tsai, R.C., Böckenholt, U., and Faculteit Economie en Bedrijfskunde
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- 2001
16. Inferring latent brand dependencies
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Böckenholt, U., Dillon, W.R., and Faculteit Economie en Bedrijfskunde
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- 2000
17. Modeling stage-sequential change in ordered categorical responses
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Kim, J. S. and Böckenholt, U.
- Abstract
Although few would dispute the usefulness of looking at behavioral change from a stage-sequential perspective, until recently the lack of appropriate modeling techniques has hampered rigorous empirical tests of stage theories. In particular, for behavioral measurements that are ordinal, there is a need for methods that represent the underlying change processes in the form of qualitative and discontinuous shifts. This article introduces a stage-sequential ordinal model by postulating that at any point in time there are a finite number of latent stages. Panel members may shift among these stages over time. The authors show that the stage-sequential model provides a general approach for both the analysis of ordinal time-dependent data and tests of various competing theories and hypotheses about psychological change processes. An analysis of a 5-year study concerning attitudes toward alcohol consumption by teenagers is presented to illustrate the modeling approach. (PsycINFO Database Record (c) 2016 APA, all rights reserved)
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- 2000
18. Multivariate analysis of randomized response data
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Methodology and statistics for the behavioural and social sciences, Afd methoden en statistieken, van der Heijden, Peter, Böckenholt, U., van Hout, A., Cruyff, M.J.L.F., Methodology and statistics for the behavioural and social sciences, Afd methoden en statistieken, van der Heijden, Peter, Böckenholt, U., van Hout, A., and Cruyff, M.J.L.F.
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- 2008
19. Discrete-time discrete-state latent Markov models with time-constant and time-varying covariates
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Vermunt, J.K., Langeheine, R., Böckenholt, U., Vermunt, J.K., Langeheine, R., and Böckenholt, U.
- Published
- 1999
20. Book Review.
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Böckenholt, U.
- Subjects
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MARKET segmentation - Abstract
Reviews the book 'Market Segmentation: Conceptual and Methodological Foundations,' by M. Wedel and W.A. Kamakura.
- Published
- 2000
21. Preference Models with Latent Variables
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Böckenholt, U.
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22. The asymptotic power of the Lagrange multiplier tests for misspecified IRT models
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Silvia Cagnone, Lucia Guastadisegni, Vassilis G. S. Vasdekis, Irini Moustaki, Wiberg, Marie, Molenaar, Dylan, González, Jorge, Böckenholt, Ulf, Kim, Jee-Seon, Wiberg M., Molenaar D., González J., Böckenholt U., Kim J.S., Guastadisegni L., Cagnone S., Moustaki I., and Vadeskis I
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Score test ,BF Psychology ,MIMIC model ,Asymptotic distribution ,Latent variable ,Power (physics) ,symbols.namesake ,Lagrange multiplier ,Binary data ,Item response theory ,symbols ,Applied mathematics ,HA Statistics ,Generalized lagrange multiplier test ,Noncentrality parameter ,Mathematics - Abstract
This article studies the power of the Lagrange Multiplier Test and the Generalized Lagrange Multiplier Test to detect measurement non-invariance in Item Response Theory (IRT) models for binary data. We study the performance of these two tests under correct model specification and incorrect distribution of the latent variable. The asymptotic distribution of each test under the alternative hypothesis depends on a noncentrality parameter that is used to compute the power. We present two different procedures to compute the noncentrality parameter and consequently the power of the tests. The performance of the two methods is evaluated through a simulation study. They turn out to be very similar to the classic empirical power but less time consuming. Moreover, the results highlight that the Lagrange Multiplier Test is more powerful than the Generalized Lagrange Multiplier Test to detect measurement non-invariance under all simulation conditions.
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- 2021
23. Comparison Between Different Estimation Methods of Factor Models for Longitudinal Ordinal Data
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Silvia Cagnone, Silvia Bianconcini, Wiberg M, Molenaar D., González J., Böckenholt U., Kim J.S., Bianconcini S., and Cagnone S.
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Ordinal data ,Pairwise likelihood ,Dimension-wise quadrature ,Applied mathematics ,Estimator ,Pairwise comparison ,Generalized linear latent variable model ,Latent variable ,Likelihood function ,Random effects model ,Mathematics ,Quadrature (mathematics) ,Factor analysis - Abstract
Latent variable models represent a useful tool in different fields of research in which the constructs of interest are not directly observable. In presence of many latent variables/random effects, problems related to the integration of the likelihood function can arise since analytical solutions do not exist. In literature, different remedies have been proposed to overcome these problems. Among these, the composite likelihoods method and, more recently, the dimension-wise quadrature have been shown to produce estimators with desirable properties. We compare the performance of the two methods in the case of longitudinal ordinal data through a simulation study and an empirical application. Both the methods perform similarly, but the dimension-wise quadrature results less computational demanding. Indeed, for the specific model under investigation, it involves integrals of smaller dimensions than those involved in the computation of the pairwise likelihood, with a better performance than the latter in terms of accuracy of the estimates.
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- 2021
24. Multivariate analysis of randomized response data
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Cruyff, M.J.L.F., Methodology and statistics for the behavioural and social sciences, Afd methoden en statistieken, van der Heijden, Peter, Böckenholt, U., van Hout, A., and University Utrecht
- Abstract
The thesis describes the multivariate analysis of randomized response data. Randomized response was introduced in 1965 as an interview technique to eliminate evasive response behavior (Warner, 1965). The questions are answered based on the outcome of a randomizer (a pair of dice, a deck of cards), so that the privacy of the respondents is protected. Research has shown that randomized response results in more valid answers than direct questions (van der Heijden et al., 2000 and Lensvelt-Mulders et al. 2005). During the past decade randomized response is used regularly by the Dutch administration to assess regulatory noncompliance. A well-known randomized response design is forced response (Boruch, 1971). In this design the respondent tosses two dice and answers the sensitive question based on the outcome of the two dice. If the outcome is 2, 3 or 4 the respondent has to answer is "yes", and if the outcome is 11 or 12, the respondents has to answer "no". If the outcome is 5, 6, 7, 8, 9 or 10, the respondents has answer truthfully. Since only respondent knows the outcome of the dice, confidentiality is ensured. Until recently randomized response was used to obtain a prevalence estimate of the sensitive behavior under study. Lately multivariate techniques have been developed to analyze the dependence of the sensitive behavior on other variables, like age, gender, education, etc. It has also become possible to analyze the associations between different sensitive behavior. The latest development is the estimation of self-protective response behavior, which occurs when respondents consistently give the non-sensitive response, irrespective the outcome of the randomizer. In this thesis four models for the multivariate analysis of randomized response data are presented. The models include the log-linear model, the proportional odds model, and two version of the zero-inflated Poisson model. Te models are applied to data from nationwide social welfare surveys that were conducted by the Dutch administration in the years 200, 200, 2004 and 2006.
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- 2008
25. Multilevel multivariate meta-analysis made easy: An introduction to MLMVmeta.
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McShane BB and Böckenholt U
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- Humans, Multilevel Analysis, Software
- Abstract
The basic random effects meta-analytic model is overwhelmingly dominant in psychological research. Indeed, it is typically employed even when more complex multilevel multivariate meta-analytic models are warranted. In this paper, we aim to help overcome challenges so that multilevel multivariate meta-analytic models will be more often employed in practice. We do so by introducing MLMVmeta-an easy-to-use web application that implements multilevel multivariate meta-analytic methodology that is both specially tailored to contemporary psychological research and easily estimable, interpretable, and parsimonious-and illustrating it across three case studies. The three case studies demonstrate the more accurate and extensive results that can be obtained via multilevel multivariate meta-analytic models. Further, they sequentially build in complexity featuring increasing numbers of experimental factors and conditions, dependent variables, and levels; this in turn necessitates increasingly complex model specifications that also sequentially build upon one another., (© 2022. The Psychonomic Society, Inc.)
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- 2023
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26. Intermittent faking of personality profiles in high-stakes assessments: A grade of membership analysis.
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Brown A and Böckenholt U
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- Humans, Psychometrics, Factor Analysis, Statistical, Surveys and Questionnaires, Personality physiology, Deception
- Abstract
In high stakes assessments of personality and similar attributes, test takers may engage in impression management (aka faking). This article proposes to consider responses of every test taker as a potential mixture of "real" (or retrieved) answers to questions, and "ideal" answers intended to create a desired impression, with each type of response characterized by its own distribution and factor structure. Depending on the particular mix of response types in the test taker profile, grades of membership in the "real" and "ideal" profiles are defined. This approach overcomes the limitation of existing psychometric models that assume faking behavior to be consistent across test items. To estimate the proposed faking-as-grade-of-membership (F-GoM) model, two-level factor mixture analysis is used, with two latent classes at the response (within) level, allowing grade of membership in "real" and "ideal" profiles, each underpinned by its own factor structure, at the person (between) level. For collected data, units of analysis can be item or scale scores, with the latter enabling analysis of questionnaires with many measured scales. The performance of the F-GoM model is evaluated in a simulation study, and compared against existing methods for statistical control of faking in an empirical application using archival recruitment data, which supported the validity of latent factors and classes assumed by the model using multiple control variables. The proposed approach is particularly useful for high-stakes assessment data and can be implemented with standard software packages. (PsycInfo Database Record (c) 2022 APA, all rights reserved).
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- 2022
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27. Better Information From Survey Data: Filtering Out State Dependence Using Eye-Tracking Data.
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Büschken J, Böckenholt U, Otter T, and Stengel D
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- Bayes Theorem, Psychometrics, Surveys and Questionnaires, Attitude, Eye-Tracking Technology
- Abstract
Ideally, survey respondents read and understand survey instructions, questions, and response scales, and provide answers that carefully reflect their beliefs, attitudes, or knowledge. However, respondents may also arrive at their responses using cues or heuristics that facilitate the production of a response, but diminish the targeted information content. We use eye-tracking data as covariates in a Bayesian switching-mixture model to identify different response behaviors at the item-respondent level. The model distinguishes response behaviors that are predominantly influenced either positively or negatively by the previous response, and responses that reflect respondents' preexisting knowledge and experiences of interest. We find that controlling for multiple types of adaptive response behaviors allows for a more informative analysis of survey data and respondents., (© 2021. The Psychometric Society.)
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- 2022
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28. Contextual Responses to Affirmative and/or Reversed-Worded Items.
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Böckenholt U
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- Humans, Models, Statistical, Surveys and Questionnaires, Algorithms, Psychometrics
- Abstract
This paper presents a systematic investigation of how affirmative and polar-opposite items presented either jointly or separately affect yea-saying tendencies. We measure these yea-saying tendencies with item response models that estimate a respondent's tendency to give a "yea"-response that may be unrelated to the target trait. In a re-analysis of the Zhang et al. (PLoS ONE, 11:1-15, 2016) data, we find that yea-saying tendencies depend on whether items are presented as part of a scale that contains affirmative and/or polar-opposite items. Yea-saying tendencies are stronger for affirmative than for polar-opposite items. Moreover, presenting polar-opposite items together with affirmative items creates lower yea-saying tendencies for polar-opposite items than when presented in isolation. IRT models that do not account for these yea-saying effects arrive at a two-dimensional representation of the target trait. These findings demonstrate that the contextual information provided by an item scale can serve as a determinant of differential item functioning.
- Published
- 2019
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29. Assessing item-feature effects with item response tree models.
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Böckenholt U
- Subjects
- Humans, Personality Tests, Psychometrics, Software, Bias, Data Interpretation, Statistical, Models, Statistical
- Abstract
Recent applications of item response tree models demonstrate that this model class is well suited to detect midpoint and extremity response style effects in both attitudinal and personality measurements. This paper proposes an extension of this approach that goes beyond measuring response styles and allows us to examine item-feature effects. In a reanalysis of three published data sets, it is shown that the proposed extension captures item-feature effects across affirmative and reverse-worded items in a psychological test. These effects are found to affect directional responses but not midpoint and extremity preferences. Moreover, accounting for item-feature effects substantially improves model fit and interpretation of the construct measurement. The proposed extension can be implemented readily with current software programs that facilitate maximum likelihood estimation of item response models with missing data., (© 2019 The British Psychological Society.)
- Published
- 2019
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30. Multilevel Multivariate Meta-analysis with Application to Choice Overload.
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McShane BB and Böckenholt U
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- Data Interpretation, Statistical, Humans, Likelihood Functions, Scholarly Communication, Meta-Analysis as Topic, Multilevel Analysis methods, Multivariate Analysis
- Abstract
We introduce multilevel multivariate meta-analysis methodology designed to account for the complexity of contemporary psychological research data. Our methodology directly models the observations from a set of studies in a manner that accounts for the variation and covariation induced by the facts that observations differ in their dependent measures and moderators and are nested within, for example, papers, studies, groups of subjects, and study conditions. Our methodology is motivated by data from papers and studies of the choice overload hypothesis. It more fully accounts for the complexity of choice overload data relative to two prior meta-analyses and thus provides richer insight. In particular, it shows that choice overload varies substantially as a function of the six dependent measures and four moderators examined in the domain and that there are potentially interesting and theoretically important interactions among them. It also shows that the various dependent measures have differing levels of variation and that levels up to and including the highest (i.e., the fifth, or paper, level) are necessary to capture the variation and covariation induced by the nesting structure. Our results have substantial implications for future studies of choice overload.
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- 2018
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31. Measuring response styles in Likert items.
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Böckenholt U
- Subjects
- Attitude, Data Interpretation, Statistical, Humans, Reaction Time, Models, Psychological, Models, Statistical
- Abstract
The recently proposed class of item response tree models provides a flexible framework for modeling multiple response processes. This feature is particularly attractive for understanding how response styles may affect answers to attitudinal questions. Facilitating the disassociation of response styles and attitudinal traits, item response tree models can provide powerful process tests of how different response formats may affect the measurement of substantive traits. In an empirical study, 3 response formats were used to measure the 2-dimensional Personal Need for Structure traits. Different item response tree models are proposed to capture the response styles for each of the response formats. These models show that the response formats give rise to similar trait measures but different response-style effects. (PsycINFO Database Record, ((c) 2017 APA, all rights reserved).)
- Published
- 2017
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32. Response style analysis with threshold and multi-process IRT models: A review and tutorial.
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Böckenholt U and Meiser T
- Subjects
- Computer Simulation, Self Report, Algorithms, Data Interpretation, Statistical, Models, Psychological, Models, Statistical, Psychometrics methods, Surveys and Questionnaires
- Abstract
Two different item response theory model frameworks have been proposed for the assessment and control of response styles in rating data. According to one framework, response styles can be assessed by analysing threshold parameters in Rasch models for ordinal data and in mixture-distribution extensions of such models. A different framework is provided by multi-process item response tree models, which can be used to disentangle response processes that are related to the substantive traits and response tendencies elicited by the response scale. In this tutorial, the two approaches are reviewed, illustrated with an empirical data set of the two-dimensional 'Personal Need for Structure' construct, and compared in terms of multiple criteria. Mplus is used as a software framework for (mixed) polytomous Rasch models and item response tree models as well as for demonstrating how parsimonious model variants can be specified to test assumptions on the structure of response styles and attitude strength. Although both frameworks are shown to account for response styles, they differ on the quantitative criteria of model selection, practical aspects of model estimation, and conceptual issues of representing response styles as continuous and multidimensional sources of individual differences in psychological assessment., (© 2017 The British Psychological Society.)
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- 2017
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33. Adjusting for Publication Bias in Meta-Analysis: An Evaluation of Selection Methods and Some Cautionary Notes.
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McShane BB, Böckenholt U, and Hansen KT
- Subjects
- Computer Simulation, Humans, Models, Statistical, Data Interpretation, Statistical, Meta-Analysis as Topic, Publication Bias
- Abstract
We review and evaluate selection methods, a prominent class of techniques first proposed by Hedges (1984) that assess and adjust for publication bias in meta-analysis, via an extensive simulation study. Our simulation covers both restrictive settings as well as more realistic settings and proceeds across multiple metrics that assess different aspects of model performance. This evaluation is timely in light of two recently proposed approaches, the so-called p-curve and p-uniform approaches, that can be viewed as alternative implementations of the original Hedges selection method approach. We find that the p-curve and p-uniform approaches perform reasonably well but not as well as the original Hedges approach in the restrictive setting for which all three were designed. We also find they perform poorly in more realistic settings, whereas variants of the Hedges approach perform well. We conclude by urging caution in the application of selection methods: Given the idealistic model assumptions underlying selection methods and the sensitivity of population average effect size estimates to them, we advocate that selection methods should be used less for obtaining a single estimate that purports to adjust for publication bias ex post and more for sensitivity analysis-that is, exploring the range of estimates that result from assuming different forms of and severity of publication bias., (© The Author(s) 2016.)
- Published
- 2016
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34. Planning sample sizes when effect sizes are uncertain: The power-calibrated effect size approach.
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McShane BB and Böckenholt U
- Subjects
- Humans, Sample Size, Data Interpretation, Statistical, Research Design standards, Uncertainty
- Abstract
Statistical power and thus the sample size required to achieve some desired level of power depend on the size of the effect of interest. However, effect sizes are seldom known exactly in psychological research. Instead, researchers often possess an estimate of an effect size as well as a measure of its uncertainty (e.g., a standard error or confidence interval). Previous proposals for planning sample sizes either ignore this uncertainty thereby resulting in sample sizes that are too small and thus power that is lower than the desired level or overstate the impact of this uncertainty thereby resulting in sample sizes that are too large and thus power that is higher than the desired level. We propose a power-calibrated effect size (PCES) approach to sample size planning that accounts for the uncertainty associated with an effect size estimate in a properly calibrated manner: sample sizes determined on the basis of the PCES are neither too small nor too large and thus provide the desired level of power. We derive the PCES for comparisons of independent and dependent means, comparisons of independent and dependent proportions, and tests of correlation coefficients. We also provide a tutorial on setting sample sizes for a replication study using data from prior studies and discuss an easy-to-use website and code that implement our PCES approach to sample size planning., ((c) 2016 APA, all rights reserved).)
- Published
- 2016
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35. The multidimensional randomized response design: Estimating different aspects of the same sensitive behavior.
- Author
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Cruyff MJ, Böckenholt U, and van der Heijden PG
- Subjects
- Humans, Confidentiality, Deception, Statistics as Topic, Surveys and Questionnaires
- Abstract
The conventional randomized response design is unidimensional in the sense that it measures a single dimension of a sensitive attribute, like its prevalence, frequency, magnitude, or duration. This paper introduces a multidimensional design characterized by categorical questions that each measure a different aspect of the same sensitive attribute. The benefits of the multidimensional design are (i) a substantial gain in power and efficiency, and the potential to (ii) evaluate the goodness-of-fit of the model, and (iii) test hypotheses about evasive response biases in case of a misfit. The method is illustrated for a two-dimensional design measuring both the prevalence and the magnitude of social security fraud.
- Published
- 2016
- Full Text
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36. You Cannot Step Into the Same River Twice: When Power Analyses Are Optimistic.
- Author
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McShane BB and Böckenholt U
- Subjects
- Humans, Internet, Sample Size, Psychology methods, Statistics as Topic
- Abstract
Statistical power depends on the size of the effect of interest. However, effect sizes are rarely fixed in psychological research: Study design choices, such as the operationalization of the dependent variable or the treatment manipulation, the social context, the subject pool, or the time of day, typically cause systematic variation in the effect size. Ignoring this between-study variation, as standard power formulae do, results in assessments of power that are too optimistic. Consequently, when researchers attempting replication set sample sizes using these formulae, their studies will be underpowered and will thus fail at a greater than expected rate. We illustrate this with both hypothetical examples and data on several well-studied phenomena in psychology. We provide formulae that account for between-study variation and suggest that researchers set sample sizes with respect to our generally more conservative formulae. Our formulae generalize to settings in which there are multiple effects of interest. We also introduce an easy-to-use website that implements our approach to setting sample sizes. Finally, we conclude with recommendations for quantifying between-study variation., (© The Author(s) 2014.)
- Published
- 2014
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37. Modeling motivated misreports to sensitive survey questions.
- Author
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Böckenholt U
- Subjects
- Adult, Female, Humans, Male, Middle Aged, Deception, Models, Theoretical, Motivation, Psychometrics methods, Surveys and Questionnaires standards
- Abstract
Asking sensitive or personal questions in surveys or experimental studies can both lower response rates and increase item non-response and misreports. Although non-response is easily diagnosed, misreports are not. However, misreports cannot be ignored because they give rise to systematic bias. The purpose of this paper is to present a modeling approach that identifies misreports and corrects for them. Misreports are conceptualized as a motivated process under which respondents edit their answers before they report them. For example, systematic bias introduced by overreports of socially desirable behaviors or underreports of less socially desirable ones can be modeled, leading to more-valid inferences. The proposed approach is applied to a large-scale experimental study and shows that respondents who feel powerful tend to overclaim their knowledge.
- Published
- 2014
- Full Text
- View/download PDF
38. Modeling multiple response processes in judgment and choice.
- Author
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Böckenholt U
- Subjects
- Data Interpretation, Statistical, Humans, Software, Choice Behavior, Judgment, Models, Psychological
- Abstract
In this article, I show how item response models can be used to capture multiple response processes in psychological applications. Intuitive and analytical responses, agree-disagree answers, response refusals, socially desirable responding, differential item functioning, and choices among multiple options are considered. In each of these cases, I show that the response processes can be measured via pseudoitems derived from the observed responses. The estimation of these models via standard software programs that allow for missing data is also discussed. The article concludes with two detailed applications that illustrate the prevalence of multiple response processes., (PsycINFO Database Record (c) 2013 APA, all rights reserved.)
- Published
- 2012
- Full Text
- View/download PDF
39. Choice by value encoding and value construction: processes of loss aversion.
- Author
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Willemsen MC, Böckenholt U, and Johnson EJ
- Subjects
- Adult, Female, Humans, Male, Middle Aged, Choice Behavior, Emotions, Motivation
- Abstract
Loss aversion and reference dependence are 2 keystones of behavioral theories of choice, but little is known about their underlying cognitive processes. We suggest an additional account for loss aversion that supplements the current account of the value encoding of attributes as gains or losses relative to a reference point, introducing a value construction account. Value construction suggests that loss aversion results from biased evaluations during information search and comparison processes. We develop hypotheses that identify the influence of both accounts and examine process-tracing data for evidence. Our data suggest that loss aversion is the result of the initial direct encoding of losses that leads to the subsequent process of directional comparisons distorting attribute valuations and the final choice.
- Published
- 2011
- Full Text
- View/download PDF
40. Estimating the prevalence of sensitive behaviour and cheating with a dual design for direct questioning and randomized response.
- Author
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van den Hout A, Böckenholt U, and van der Heijden PG
- Abstract
Randomized response is a misclassification design to estimate the prevalence of sensitive behaviour. Respondents who do not follow the instructions of the design are considered to be cheating. A mixture model is proposed to estimate the prevalence of sensitive behaviour and cheating in the case of a dual sampling scheme with direct questioning and randomized response. The mixing weight is the probability of cheating, where cheating is modelled separately for direct questioning and randomized response. For Bayesian inference, Markov chain Monte Carlo sampling is applied to sample parameter values from the posterior. The model makes it possible to analyse dual sample scheme data in a unified way and to assess cheating for direct questions as well as for randomized response questions. The research is illustrated with randomized response data concerning violations of regulations for social benefit.
- Published
- 2010
- Full Text
- View/download PDF
41. Modeling subjective health outcomes: top 10 reasons to use Thurstone's method.
- Author
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Maydeu-Olivares A and Böckenholt U
- Subjects
- Humans, Qualitative Research, Reproducibility of Results, Research Design, Health Status, Models, Statistical
- Published
- 2008
- Full Text
- View/download PDF
42. Thurstonian-Based Analyses: Past, Present, and Future Utilities.
- Author
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Böckenholt U
- Abstract
Current psychometric models of choice behavior are strongly influenced by Thurstone's (1927, 1931) experimental and statistical work on measuring and scaling preferences. Aided by advances in computational techniques, choice models can now accommodate a wide range of different data types and sources of preference variability among respondents induced by such diverse factors as person-specific choice sets or different functional forms for the underlying utility representations. At the same time, these models are increasingly challenged by behavioral work demonstrating the prevalence of choice behavior that is not consistent with the underlying assumptions of these models. I discuss new modeling avenues that can account for such seemingly inconsistent choice behavior and conclude by emphasizing the interdisciplinary frontiers in the study of choice behavior and the resulting challenges for psychometricians.
- Published
- 2006
- Full Text
- View/download PDF
43. Structural equation modeling of paired-comparison and ranking data.
- Author
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Maydeu-Olivares A and Böckenholt U
- Subjects
- Data Collection statistics & numerical data, Data Interpretation, Statistical, Humans, Mathematical Computing, Software, Choice Behavior, Individuality, Matched-Pair Analysis, Models, Statistical, Statistics, Nonparametric
- Abstract
L. L. Thurstone's (1927) model provides a powerful framework for modeling individual differences in choice behavior. An overview of Thurstonian models for comparative data is provided, including the classical Case V and Case III models as well as more general choice models with unrestricted and factor-analytic covariance structures. A flow chart summarizes the model selection process. The authors show how to embed these models within a more familiar structural equation modeling (SEM) framework. The different special cases of Thurstone's model can be estimated with a popular SEM statistical package, including factor analysis models for paired comparisons and rankings. Only minor modifications are needed to accommodate both types of data. As a result, complex models for comparative judgments can be both estimated and tested efficiently., (Copyright 2005 APA, all rights reserved.)
- Published
- 2005
- Full Text
- View/download PDF
44. A latent markov model for the analysis of longitudinal data collected in continuous time: states, durations, and transitions.
- Author
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Böckenholt U
- Subjects
- Humans, Stochastic Processes, Time Factors, Markov Chains, Psychology methods
- Abstract
Markov models provide a general framework for analyzing and interpreting time dependencies in psychological applications. Recent work extended Markov models to the case of latent states because frequently psychological states are not directly observable and subject to measurement error. This article presents a further generalization of latent Markov models to allow for the analysis of rating data that are collected at arbitrary points in time. This extension offers new ways of investigating change processes by focusing explicitly on the durations that are spent in latent states. In an experience sampling application the author shows that such duration analyses can provide valuable insights about chronometric features of emotions., (Copyright 2005 APA, all rights reserved.)
- Published
- 2005
- Full Text
- View/download PDF
45. Comparative judgments as an alternative to ratings: identifying the scale origin.
- Author
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Böckenholt U
- Subjects
- Humans, Interpersonal Relations, Judgment, Models, Psychological
- Abstract
Although comparative judgment methods have a number of distinct advantages over ratings, they share one common problem: On the basis of comparative judgments, it is not possible to recover the origin of item evaluations. One item may be judged more positively than another, but this result does not allow any conclusions about whether either of the items are attractive or unattractive. This article discusses the implications of this limitation for the interpretation of individual differences in comparative judgments. It also presents 3 different methods that may allow determination of the scale origin using a nested model comparison approach. An application illustrates the proposed approach as well as the benefits of determining the scale origin in understanding value judgments., (((c) 2004 APA, all rights reserved).)
- Published
- 2004
- Full Text
- View/download PDF
46. The structure of self-reported emotional experiences: a mixed-effects Poisson factor model.
- Author
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Böckenholt U, Kamakura WA, and Wedel M
- Subjects
- Arousal, Extraversion, Psychological, Humans, Individuality, Likelihood Functions, Multivariate Analysis, Neurotic Disorders diagnosis, Neurotic Disorders psychology, Self Disclosure, Emotions, Models, Statistical, Personality Inventory statistics & numerical data, Poisson Distribution, Psychometrics statistics & numerical data
- Abstract
Multivariate count data are commonly analysed by using Poisson distributions with varying intensity parameters, resulting in a random-effects model. In the analysis of a data set on the frequency of different emotion experiences we find that a Poisson model with a single random effect does not yield an adequate fit. An alternative model that requires as many random effects as emotion categories requires high-dimensional integration and the estimation of a large number of parameters. As a solution to these computational problems, we propose a factor-analytic Poisson model and show that a two-dimensional factor model fits the reported data very well. Moreover, it yields a substantively satisfactory solution: one factor describing the degree of pleasantness and unpleasantness of emotions and the other factor describing the activation levels of the emotions. We discuss the incorporation of covariates to facilitate rigorous tests of the random-effects structure. Marginal maximum likelihood methods lead to straight-forward estimation of the model, for which goodness-of-fit tests are also presented.
- Published
- 2003
- Full Text
- View/download PDF
47. Response styles in affect ratings: making a mountain out of a molehill.
- Author
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Schimmack U, Böckenholt U, and Reisenzein R
- Subjects
- Humans, Illinois, Models, Psychological, Affect, Psychological Tests, Psychometrics methods, Surveys and Questionnaires
- Abstract
Ratings of affect words are the most commonly used method to assess pleasant affect (PA) and unpleasant affect (UA). The reliance on self-reports would be problematic if affect ratings were heavily influenced by response styles. Several recent publications have indeed suggested (a) that the influence of response styles on affect ratings is pervasive, (b) that this influence can be controlled by variations of the response format using multitrait-multimethod models, and (c) the discriminant validity of PA and UA is spurious. In this article, we examined the evidence for these claims. We demonstrate that (a) response styles have a negligible effect on affect ratings, (b) multiple response formats produce the same results as a single response format, and (c) the discriminant validity of PA and UA is not a method artifact. Rather, evidence against discriminant validity is due to the use of inappropriate response formats that respondents interpreted as bipolar scales.
- Published
- 2002
- Full Text
- View/download PDF
48. Individual differences in paired comparison data.
- Author
-
Böckenholt U and Tsai RC
- Subjects
- Algorithms, Data Interpretation, Statistical, Humans, Likelihood Functions, Mathematical Computing, Attitude, Choice Behavior, Individuality, Models, Statistical
- Abstract
Thurstonian models provide a flexible framework for the analysis of multiple paired comparison judgments because they allow a wide range of hypotheses about the judgments' mean and covariance structures to be tested. However, applications have been limited to a large extent by the computational intractability involved in fitting this class of models. This paper demonstrates that the Monte Carlo EM algorithm facilitates maximum likelihood estimation of Thurstonian paired comparison models even when the number of items is large. A paired comparison study is presented in detail to illustrate the estimation approach.
- Published
- 2001
- Full Text
- View/download PDF
49. Hierarchical modeling of paired comparison data.
- Author
-
Böckenholt U
- Subjects
- Female, Humans, Male, Choice Behavior, Group Processes, Individuality, Matched-Pair Analysis, Models, Statistical
- Abstract
The method of paired comparisons belongs to a small group of techniques that provide explicit information about the consistency of individual and aggregated choices. This article investigates the link between the individual- and group-level judgments by extending R. D. Luce's (1959) model, which was originally developed for individual choice behavior, to a mixed-effects paired comparison model. It is shown that standard multilevel software for binary data can be used to estimate the model. The interpretation of the paired comparison parameters and statistical model tests are discussed in detail. An extensive analysis of an experimental study illustrates the usefulness of a hierarchical approach in modeling multiple pairwise judgments.
- Published
- 2001
- Full Text
- View/download PDF
50. Modeling stage-sequential change in ordered categorical responses.
- Author
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Kim JS and Böckenholt U
- Subjects
- Adolescent, Alcohol Drinking psychology, Attitude, Female, Humans, Juvenile Delinquency psychology, Likelihood Functions, Longitudinal Studies, Male, Marijuana Abuse psychology, Behavior Therapy statistics & numerical data, Models, Statistical, Psychometrics
- Abstract
Although few would dispute the usefulness of looking at behavioral change from a stage-sequential perspective, until recently the lack of appropriate modeling techniques has hampered rigorous empirical tests of stage theories. In particular, for behavioral measurements that are ordinal, there is a need for methods that represent the underlying change processes in the form of qualitative and discontinuous shifts. This article introduces a stage-sequential ordinal model by postulating that at any point in time there are a finite number of latent stages. Panel members may shift among these stages over time. The authors show that the stage-sequential model provides a general approach for both the analysis of ordinal time-dependent data and tests of various competing theories and hypotheses about psychological change processes. An analysis of a 5-year study concerning attitudes toward alcohol consumption by teenagers is presented to illustrate the modeling approach.
- Published
- 2000
- Full Text
- View/download PDF
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